Pith Number

pith:DOWDFBEH

pith:2016:DOWDFBEH2FGCD6EQFGZ2C7HENT

not attested not anchored not stored refs pending

On the Erdos-Fuchs theorem

Hao Pan, Li-Xia Dai

arxiv:1608.08433 v1 · 2016-08-30 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOWDFBEH2FGCD6EQFGZ2C7HENT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:07:18.121181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bac328487d14c21f89029b3a17ce46cdee1aa6f6a39ad00b8e22f24ea6662fd

Aliases

arxiv: 1608.08433 · arxiv_version: 1608.08433v1 · doi: 10.48550/arxiv.1608.08433 · pith_short_12: DOWDFBEH2FGC · pith_short_16: DOWDFBEH2FGCD6EQ · pith_short_8: DOWDFBEH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DOWDFBEH2FGCD6EQFGZ2C7HENT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1bac328487d14c21f89029b3a17ce46cdee1aa6f6a39ad00b8e22f24ea6662fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3223a992dafa485f14049b2191c8f38fb9e4c91e0936924d01c47cfd9b968bfe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-30T13:00:23Z",
    "title_canon_sha256": "0c7bc81fbf281764bda1e4c449f12820657712e1338b2e7cf93323ef80b17349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08433",
    "kind": "arxiv",
    "version": 1
  }
}